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Finding the Fourth Proportional to 15,198.60, 20,950.08 and 11,416.38

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Solution

The fourth proportional to 15,198.60, 20,950.08 and 11,416.38 is: 15,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.60 : 20,950.08 = 11,416.38 : x
  2. Step 2: Convert to fraction form
    15,198.60/20,950.08 = 11,416.38/x
  3. Step 3: Cross multiply
    15,198.60x = 20,950.08 × 11,416.38
  4. Step 4: Simplify right side
    15,198.60x = 239,174,074.31
  5. Step 5: Solve for x
    x = 239,174,074.31/15,198.60
  6. Step 6: Final answer
    x = 15,736.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.